Distance and similarity measures for dual hesitant fuzzy sets and their applications in pattern recognition

被引：74

作者：

Su, Zhan ^{[1
]}

Xu, Zeshui ^{[2
]}

Liu, Haifeng ^{[1
]}

Liu, Shousheng ^{[1
]}

机构：

[1] PLA Univ Sci & Technol, Coll Sci, Nanjing, Jiangsu, Peoples R China

[2] Sichuan Univ, Sch Business, Chengdu 610064, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 29卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Dual hesitant fuzzy set (DHFS); hesitant fuzzy set (HFS); distance measures; similarity measures; pattern recognition; AGGREGATION;

D O I：

10.3233/IFS-141474

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Dual hesitant fuzzy set (DHFS) is a very comprehensive set which includes fuzzy set, intuition fuzzy set and hesitant fuzzy set as its special cases. Distance and similarity measures play great roles in many areas, such as decision making, pattern recognition, etc. In this paper, we introduce some distance and similarity measures for DHFSs based on Hamming distance, Euclidean distance and Hausdorff distance. Two examples are used to illustrate these distance and similarity measures and their applications in pattern recognition. Finally, the comparisons among DHFSs and the corresponding IVIFSs and HFSs are made in detail by utilizing the developed distance measures.

引用

页码：731 / 745

页数：15

共 23 条

[1] INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, K ;

GARGOV, G .

FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349

[2] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[3] Approaches to multiple attribute decision making based on the correlation coefficient with dual hesitant fuzzy information [J].

Chen, Yuanfang ;

Peng, Xiaodong ;

Guan, Guohua ;

Jiang, Huade .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (05) :2547-2556

[4] Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric [J].

Grzegorzewski, P .

FUZZY SETS AND SYSTEMS, 2004, 148 (02) :319-328

[5] Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance [J].

Hung, WL ;

Yang, MS .

PATTERN RECOGNITION LETTERS, 2004, 25 (14) :1603-1611

[6]

Li DF, 2002, PATTERN RECOGN LETT, V23, P221, DOI 10.1016/S0167-8655(01)00110-6

[7] COMPUTING THE MINIMUM HAUSDORFF DISTANCE BETWEEN 2 POINT SETS ON A LINE UNDER TRANSLATION [J].

ROTE, G .

INFORMATION PROCESSING LETTERS, 1991, 38 (03) :123-127

[8]

Szmidt E, 2004, LECT NOTES ARTIF INT, V3070, P388

[9] Distances between intuitionistic fuzzy sets [J].

Szmidt, E ;

Kacprzyk, J .

FUZZY SETS AND SYSTEMS, 2000, 114 (03) :505-518

[10] Hesitant Fuzzy Sets [J].

Torra, Vicenc .

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2010, 25 (06) :529-539

← 1 2 3 →